%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET839-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:12:42 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET839-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n006.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 05:40:42 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f1,negated_conjecture,(
% 0.15/0.45 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f2,negated_conjecture,(
% 0.15/0.45 (![V_U,V_V]: (( c_lessequals(V_U,V_V,tc_set(t_a))| ~ c_in(V_V,v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f3,axiom,(
% 0.15/0.45 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f4,axiom,(
% 0.15/0.45 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f5,axiom,(
% 0.15/0.45 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f6,axiom,(
% 0.15/0.45 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f7,plain,(
% 0.15/0.45 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.45 fof(f8,plain,(
% 0.15/0.45 ![V_U]: ((![V_V]: (c_lessequals(V_U,V_V,tc_set(t_a))|~c_in(V_V,v_S,tc_set(t_a))))|~c_in(V_U,v_S,tc_set(t_a)))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f2])).
% 0.15/0.45 fof(f9,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(X0,X1,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.45 fof(f10,plain,(
% 0.15/0.45 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.45 fof(f11,plain,(
% 0.15/0.45 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.45 fof(f12,plain,(
% 0.15/0.45 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.45 fof(f13,plain,(
% 0.15/0.45 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f6])).
% 0.15/0.45 fof(f14,plain,(
% 0.15/0.45 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.45 fof(f16,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),X1,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a)))),
% 0.15/0.45 inference(resolution,[status(thm)],[f11,f9])).
% 0.15/0.45 fof(f20,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),tc_set(t_a))|c_lessequals(v_S,X1,tc_set(tc_set(t_a))))),
% 0.15/0.45 inference(resolution,[status(thm)],[f16,f11])).
% 0.15/0.45 fof(f25,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(v_S,X1,tc_set(tc_set(t_a)))|~c_lessequals(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),tc_set(t_a))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),
% 0.15/0.45 inference(resolution,[status(thm)],[f20,f14])).
% 0.15/0.45 fof(f26,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(v_S,X1,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f25,f20])).
% 0.15/0.45 fof(f28,plain,(
% 0.15/0.45 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),
% 0.15/0.45 inference(resolution,[status(thm)],[f26,f7])).
% 0.15/0.45 fof(f33,plain,(
% 0.15/0.45 ![X0,X1]: (c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)))),
% 0.15/0.45 inference(resolution,[status(thm)],[f28,f7])).
% 0.15/0.45 fof(f47,plain,(
% 0.15/0.45 ![X0,X1]: (~c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a))|c_lessequals(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f33,f12])).
% 0.15/0.45 fof(f55,plain,(
% 0.15/0.45 ![X0,X1]: (~c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)))),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f47,f7])).
% 0.15/0.45 fof(f89,plain,(
% 0.15/0.45 $false),
% 0.15/0.45 inference(resolution,[status(thm)],[f55,f10])).
% 0.15/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.060034 seconds
% 0.15/0.49 % CPU time: 0.159423 seconds
% 0.15/0.49 % Total memory used: 50.156 MB
% 0.15/0.49 % Net memory used: 49.860 MB
%------------------------------------------------------------------------------